From the hypergeometric differential equation to a non-linear Schrödinger one

We show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation can be transformed into a non-linear Schrodinger equation (NLSE). This NLSE exhibits both similarities and differences...

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Detalles Bibliográficos
Autores principales: Plastino, Ángel Luis, Rocca, Mario Carlos
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Física
Non-linear Schrödinger equations
Separation of variables
Hypergeometric function
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/131841
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-131841
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Non-linear Schrödinger equations
Separation of variables
Hypergeometric function
spellingShingle Física
Non-linear Schrödinger equations
Separation of variables
Hypergeometric function
Plastino, Ángel Luis
Rocca, Mario Carlos
From the hypergeometric differential equation to a non-linear Schrödinger one
topic_facet Física
Non-linear Schrödinger equations
Separation of variables
Hypergeometric function
description We show that the q-exponential function is a hypergeometric function. Accordingly, it obeys the hypergeometric differential equation. We demonstrate that this differential equation can be transformed into a non-linear Schrodinger equation (NLSE). This NLSE exhibits both similarities and differences vis-a-vis the Nobre–Rego-Monteiro–Tsallis one.
format Articulo
Articulo
author Plastino, Ángel Luis
Rocca, Mario Carlos
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
author_sort Plastino, Ángel Luis
title From the hypergeometric differential equation to a non-linear Schrödinger one
title_short From the hypergeometric differential equation to a non-linear Schrödinger one
title_full From the hypergeometric differential equation to a non-linear Schrödinger one
title_fullStr From the hypergeometric differential equation to a non-linear Schrödinger one
title_full_unstemmed From the hypergeometric differential equation to a non-linear Schrödinger one
title_sort from the hypergeometric differential equation to a non-linear schrödinger one
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/131841
work_keys_str_mv AT plastinoangelluis fromthehypergeometricdifferentialequationtoanonlinearschrodingerone
AT roccamariocarlos fromthehypergeometricdifferentialequationtoanonlinearschrodingerone
bdutipo_str Repositorios
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